| 一类奇异抛物方程非负古典解的存在性 |
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| 引用本文： | 夏莉,张园园.一类奇异抛物方程非负古典解的存在性[J].湖南科技大学学报(自然科学版),2015,30(2). |
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| 作者姓名： | 夏莉 张园园 |
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| 作者单位： | 1.广东财经大学 数学与统计学院，广东 广州 510320；2.西南财经大学 证券与期货学院，四川 成都 611130 |
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| 基金项目： | 国家自然科学基金资助项目(11201311, 11301345)；四川省教育厅一般项目（15ZB0473） |
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| 摘 要： | 一类含梯度项的奇异抛物方程在文中得到了讨论.在某些特定条件下,通过抛物正则化方法及上下解方法,作者获得该类方程的非负古典解的存在性.
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| 关 键 词： | 存在性 奇异抛物方程 径向解 |
Nonnegative classical solutions for some singular parabolic equations |
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| Xia Li,Zhang Yuanyuan.Nonnegative classical solutions for some singular parabolic equations[J].Journal of Hunan University of Science & Technology(Natural Science Editon),2015,30(2). |
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| Authors: | Xia Li Zhang Yuanyuan |
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| Institution: | 1. School of Mathematics and Statistics , Guangdong University of Finance and Economics, Guangzhou 510320, China;
2. School of Securities and Futures, Southwestern University of Finance and Economics, Chengdu 611130, China |
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| Abstract: | Some singular parabolic equations with gradient term were discussed. Under certain conditions, existence of nonnegative classical solutions for the equations was obtained by parabolic regularization method and sub-super solution method. |
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| Keywords: | existence singular parabolic equation radial solution |
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